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Finding the Fourth Proportional to 187,758, 259,127.73 and 107,197.02

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Solution

The fourth proportional to 187,758, 259,127.73 and 107,197.02 is: 147,944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758 : 259,127.73 = 107,197.02 : x
  2. Step 2: Convert to fraction form
    187,758/259,127.73 = 107,197.02/x
  3. Step 3: Cross multiply
    187,758x = 259,127.73 × 107,197.02
  4. Step 4: Simplify right side
    187,758x = 27,777,720,455.36
  5. Step 5: Solve for x
    x = 27,777,720,455.36/187,758
  6. Step 6: Final answer
    x = 147,944.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.